Two circles touch each other internally and their centres are O and O′ as shown. The sum of their areas is 180 π sq. cm. and the distance between their centres is 6 cm. What is the diameter of the larger circle?

Two circles touch each other internally and their centres are O and O�

1.	Two circles touch each other internally and their centres are O and O′ as shown. The sum of their areas is 180 π sq. cm. and the distance between their centres is 6 cm. What is the diameter of the larger circle?
Answer» Two circles touch each other internally and their centres are $O$ and $O^{'}$ as shown. The sum of their areas is $180 π$ sq. cm. and the distance between their centres is $6 c m .$ What is the diameter of the larger circle?